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kvasek [131]
3 years ago
11

Dana is riding her bike. She rides 20 miles in 2 hours, 30 miles in 3 hours, and 40 miles in 4 hours. Find the constant of prop

ortionality and write an equation to describe

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0
10. 20/2 = 10
30/3=10
40/4=10

Y=10x
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HELP with Geometry PLEASES!! 100 points!!!
Igoryamba

Answer:

in order from images displayed, x = 20, x = 6, x = 5.5

Step-by-step explanation:

4x - 8 + 6x - 12 = 180

10x -20 = 180

10x = 200

x = 20

5x - 1 = 29

5x = 30

x = 6

14x - 6 = 12x + 5

2x = 11

x = 5.5

5 0
1 year ago
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What is the longest line segment that can be drawn in a right rectangular prism that is 15 cm​ long, 11 cm​ wide, and 10 cm​ tal
sammy [17]

Answer:

  √446 ≈ 21.12 cm

Step-by-step explanation:

The longest dimension of a rectangular prism is the length of the space diagonal from one corner to the opposite corner through the center of the prism. The Pythagorean theorm tells you the square of its length is the sum of the squares of the dimensions of the prism:

  d² = (15 cm)² +(11 cm)² +(10 cm)² = (225 +121 +100) cm² = 446 cm²

  d = √446 cm ≈ 21.12 cm

The longest line segment that can be drawn in a right rectangular prism is about 21.12 cm.

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<em>Additional comment</em>

The square of the face diagonal is the sum of the squares of the dimensions of that face. The square of the space diagonal will be the sum of that square and the square of the remaining prism dimenaion, hence the sum of squares of all three prism dimensions.

8 0
2 years ago
Noah says i am finally I am thinking of a number when I multiply it by 5 and subtract 37 the answer is 58
frosja888 [35]

Answer:

19

Step-by-step explanation:

If you go backwards you can to 58+37, which is equal to 95, and the opposite of multiplying is dividing, so If you divide 95 by 5, you get 19

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2 years ago
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Answer:

680

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Mumz [18]
Since the triangles are similar, the ratio of the sides of larger triangle to the smaller triangle is a constant.

That constant = \frac{15}{9} =  \frac{5}{3}

Since the sides are in that constant proportion, the area of the triangles will also be in proportion.

(Area of larger triangle) over (Area of smaller triangle) = \frac{5}{3}

\frac{206}{x} =  \frac{5}{3}

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3 years ago
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